Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258o |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7135758208656 = 24 · 32 · 76 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-296810,-62263924] |
[a1,a2,a3,a4,a6] |
Generators |
[5133704490:33489949783:7880599] |
Generators of the group modulo torsion |
j |
2891726370960146784793/7135758208656 |
j-invariant |
L |
5.593299300519 |
L(r)(E,1)/r! |
Ω |
0.20454089975207 |
Real period |
R |
13.67281386583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81774bt2 |
Quadratic twists by: -3 |